Did i I do this correctly? Pic is down below! Brainliest stars and hearts!

Answer:

4006

Step-by-step explanation:

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

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The value of (3/10) cubed is:

(3/10)³ = (3³)/(10³) = 27/1000

Therefore, (3/10) cubed is equal to 0.027.

Answer:

27/1000 = 0.027

Step-by-step explanation:

To find the cube of 3/10, we need to multiply it by itself three times:

(3/10)³ = (3/10) x (3/10) x (3/10)

To multiply fractions, we multiply their numerators together and their denominators together. So, we have:

(3/10)³ = (3 x 3 x 3) / (10 x 10 x 10)

Simplifying the numerator and denominator, we get:

(3/10)³ = 27/1000

Therefore, the value of (3/10) cubed is 27/1000 = 0.027

The value of x is 4, AB is 3 and BC is 24 for the given line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line, AC consists of AB and BC

So,

AC = AB + BC

Now,

AC = 27 , BC = 6x and AB = 2x - 5

So,

27 = 6x + 2x - 5

27 = 8x - 5

8x = 32

x = 4

Now,

AB = 2(4)- 5 = 3

And

BC = 6(4) = 24

Hence "The value of x is 4, AB is 3 and BC is 24 for the given line segment".

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Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.

To compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.

So, the probability of passing the quiz is:

P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)

= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷

= 0.0035

Therefore, the result is c. 0.0035.

The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

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Therefore, an initial deposit of $37,728.66 is required to have a college fund of $110,000 in 17 years with quarterly compounding and an APR of 4.9%.

An amount held in an account is referred to as a deposit. It might be put up in a bank as collateral for goods that are being rented out or bought. A deposit is used in many different sorts of economic transactions.

Compound interest can be calculated using the following formula to determine the required down payment:

A = P(1 + r/n)(nt)

where:

A = the future value of the account (in this case, $110,000)

P = the principal or initial deposit

r = the annual interest rate (4.9%)

n = the number of times the interest is compounded per year (4 for quarterly compounding)

t = the number of years (17)

When we enter the specified numbers into the formula, we obtain:

$110,000 = P(1 + 0.049/4)(4*17)

$110,000 = P(1.01225)⁶⁸

$110,000 = P * 2.9126

Dividing both sides by 2.9126, we get:

P = $37,728.66

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Answer:

I took the exam its C

Step-by-step explanation:

Answer:the answer is C

Step-by-step explanation:

:)))

Answer: $189 000

brainliest or a thank you please :))

goodluck!

Answer:

$189,000

Step-by-step explanation:

,Correct me if I'm wrong :D

The calculated value of the probability of being dealt a six is 3/26

From the question, we have the following parameters that can be used in our computation:

Cards in a standard deck of cards

In a standard deck of cards, we have

Cards = 52

There are four 6's in a deck of cards

This means that

P(Dealt 6) = Number of cards/Cards

Substitute the known values in the above equation, so, we have the following representation

P(Dealt 6) = 6/52

Evaluate

P(Dealt 6) = 3/26

Hence, the probability is 3/26

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The midpoints of the given coordinates and the distance between coordinates are calculated below.

1a) Coordinates of midpoint of (-4, 2), (3, 3) is;

Midpoint Coordinate = (-4 + 3)/2, (2 + 3)/2 = (-1/2, 5/2)

1b) Coordinates of midpoint of (-1, 0), (-3, -4) is;

Midpoint Coordinate = (-1 - 3)/2, (-4 + 0)/2 = (-2, -2)

2) One endpoint = (-5, 4)

Midpoint = (-10, -6)

Thus;

Coordinate of other endpoint is;

(-5 + x)/2, (4 + y)/2 = (-10, -6)

-5 + x = -20

x = -15

4 + y = -12

y = -16

(x, y) = (-15, -16)

3) Distance between the two coordinates (-3, 6) and (2, 1) is;

d = √[(2 + 3)² + (1 - 6)²]

d = √100

3b) Distance between the two coordinates (7, 6) and (0, 2) is;

d = √[(0 - 7)² + (2 - 6)²]

d = √64

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The required equation that represents the line of best fit is y = 2x + 4

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

From the given scatters plot, we only need to choose two points that aligns properly and create an equation of a line using the coordinates.

Using the following points (4, 12) and (2, 8)

The equation of the line will be in the form y = mx + b

where

m is the slope

b is the y-intercept

Determine the slope

Slope = y2-y1/x2-x1

Slope = 8-12/2-4
Sope = -4/-2
Slope = 2

Determine the y-intercept

Using the coordinate point (2, 8) and m = 2

8 = 2(2) + b

b = 8 - 4

b = 4

Hence the required equation that represents the line of best fit is y = 2x + 4

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\(\\ \sf\longmapsto Area=LB\)

\(\\ \sf\longmapsto 72=4.8L\)

\(\\ \sf\longmapsto L=\dfrac{72}{4.8}\)

\(\\ \sf\longmapsto L=15in\)

Answer: Just find all whole number factors:

Step-by-step explanation:1x72, 2x36

                                                3x24, 4x18

                                                6x12, 8x9

Total 6 possible dimensions

what do you want help with?

Step-by-step explanation:

If the die has 6 sides, this will be 10 or under, but there are 2160 ways this can happen

Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

Answer:

x = 16cm

Step-by-step explanation:

\(C^{2}\) - \(A^{2}\) = \(B^{2}\)

\(20^{2}\) - \(12^{2}\) = 256

\(\sqrt{256}\) = 16

Answer:

23+9y

Step-by-step explanation:

hope that helped :)

(46 + 7y) is equivalent to the linear expression((10 +13)2 + 7y).

What is the general form of a linear expression?

Ax + By + C is the general form of a linear expression. Here, x and y are variables and A, B, and C are constants.

Given,

(10 +13)2 + 7y)

= 23 × 2 + 7y

= 46 + 7y

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The rectangular prism in figure 2 has the same volume of 108 m².

Given that the square prism's measurements are as follows:

area = 36 m²

h = 3 m

As a result, the volume of this prism is equal to side² h = area h = 36 3 = 108 m2.

Now, we'll figure out how much each prism in the image is worth.

1) Because it is a right-angled tent or prism, the volume calculation will be

V = 1/2 (base length base width) Height

= 1/2×(3×2×6) = 36/2 = 18 m²

2. Volume of a rectangular prism is equal to length, width, and height, which is 2 18 3 = 108 m2.

3. A tent's or prism's volume is equal to half of its base's length, width, and height

= 1/2×4×9×3 = 1/2×108 = 54 m²

Consequently, the rectangular prism in figure 2 has the same volume of 108 m2.

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The missing numbers are:  80 people = 40%  ,120 people = 60%. These numbers are obtained by solving a proportion and calculating the percentages based on the total number of people in the survey. It is important to ensure that the percentages add up to 100% and accurately represent the data collected by Kate.

To find the missing numbers, we can set up proportions based on the given percentages.

First, we know that 80 people represent 40% of the total. To find the total number of people, we can use the proportion:
80/total = 40/100
Cross multiplying gives us:
40 * total = 80 * 100
Simplifying, we get:
40 * total = 8000
Dividing both sides by 40 gives us the total number of people:
total = 8000/40
Simplifying, we find that the total number of people is 200.
Now, we can use this total to find the missing numbers.

For the first missing number, we know that 80 people represent 40% of the total, so the first missing number is:
40% of 200 = 0.4 * 200 = 80
For the second missing number, we know that 126 people represent 60% of the total, so the second missing number is:
60% of 200 = 0.6 * 200 = 120
Therefore, the missing numbers are:
80 people = 40%
120 people = 60%

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Answer:

No solution

Step-by-step explanation:

There are no values of x that make the inequality true.

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

The rate of growth of revenue when 420 units have been sold is R'(420) = R'(350)..

Revenue from selling x units = R(x). Also, sales are increasing at a rate of 70 per day. That means if x units are sold today, then tomorrow, the units sold would be (x + 70) units. Rate of increasing sales = 70 per day. Now, when 420 units have been sold:

Initial units sold = x = 420 - 70 = 350 units

Total units sold = 420 units

Number of units sold today = 420 - 350 = 70 units

Now, Revenue generated from 350 units of the item = R(350)

Revenue generated from 420 units of the item = R(420)

Rate of growth of revenue when 420 units have been sold = R'(420)\

From the definition of the derivative:

R'(x) = lim_ {h→0} {R(x+h) - R(x)}/{h}

R'(420) = lim_ {h→0} {R(420+h) - R(420)}/{h}

R(420) = R(350 + 70) = R(350) + R'(350) * (70)And, R(420 + h)

= R(350 + 70 + h) = R(350) + R'(350) * (70 + h), Using these equations,

R'(420) = lim_ {h→0} {R(350) + R'(350) * (70 + h) - R(350) - R'(350) * (70)}/{h}

= lim_ {h→0} {R'(350) * h}/{h}

= R'(350)

Thus, the rate of growth of revenue when 420 units have been sold is R'(420) = R'(350).

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Answer:

8 problems per day for 12 of the days and 9 problems per day for 24 of the days

Step-by-step explanation:

It would take him 26 of the days to complete 208 problems.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, then;

Using unitary method;

8 problems per day for 12 of the days

Therefore, 9 problems per day for 24 of the days.

Hence, the 208 practice problems = 26 days.

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Answer in the photo!!

hope it's right

The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

We know that,

The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).

The given equations are;

A) 2x + 3y = 9

B) 2y - 3x = 8

The general equation of a line, in a slope intercept form, is given by,

y = mx + c, where m is the slope of the line and c is the y-intercept,

A) 2x + 3y = 9

3y = 9-2x

y = -2x/3 + 3....(i)

B) 2y - 3x = 8

2y = 3x+8

y = 3x/2 + 4.....(ii)

Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,

We know that slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the given two line are perpendicular to each other.

Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

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I believe the awnser is negative

No, the independence of x and y does not necessarily mean the independence of \(x^2\) and y.

Independence means that the values of one random variable do not affect the values of the other random variable. In other words, knowing the value of one random variable does not give us any information about the value of the other random variable.

However, squaring a random variable changes its distribution and can affect its independence from another random variable.

For example, if x is a normally distributed random variable with a mean of 0 and a standard deviation of 1, then \(x^2\) will follow a chi-squared distribution with 1 degree of freedom. The distribution of \(x^2\) and y may not be independent, even though x and y are independent.

Hence, just because x and y are independent random variables does not mean that  \(x^2\)  and y are also independent random variables. Independence must be established based on the joint distribution of the random variables.

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Answer:

1. First, add the x coordinates and divide by 2.

2. Second, add the y coordinates and divide by 2.

3. Take each result to get the midpoint.

Step-by-step explanation:

Example:

Find the midpoint of (1,6)(5,10)

x=1+5=6/2=3

y=6+10=16/2=8

Midpoint: (3,8)